Recognition: unknown
Surface subgroups of Kleinian groups with torsion
classification
🧮 math.GT
math.DG
keywords
containskleiniansubgroupsurfaceeveryfinitegrouparithmetic
read the original abstract
We prove that every finitely generated Kleinian group that contains a finite, non-cyclic subgroup either is finite or virtually free or contains a surface subgroup. Hence, every arithmetic Kleinian group contains a surface subgroup.
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